Related papers: The Boltzmann-Sinai Ergodic Hypothesis for Hard Ba…

The paper was withdrawn by the author. It contained various errors.

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This paper was withdrawn by the authors.

This paper has been withdrawn by the authors, since it had been the excessive repetition of the part of hep-ph/0310190.

This paper has been withdrawn by the author due to an error in the proof of Proposition 4.8.

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We consider the system of $N$ ($\ge2$) elastically colliding hard balls of masses $m_1,...,m_N$ and radius $r$ in the flat unit torus $\Bbb T^\nu$, $\nu\ge2$. In the case $\nu=2$ we prove (the full hyperbolicity and) the ergodicity of such…

This paper has been withdrawn, because of an error in the proof of the main Theorem

This paper has been withdrawn by the authors due to a crucial error in eqn 27.

This paper has been withdrawn by the author.

This paper has been withdrawn due to an incorrect analysis in Section 4.

This paper has been withdrawn by the authors. It has been superseded by hep-th/0309154

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This paper has been withdrawn by the author due to crucial errors.

This paper has been withdrawn by the authors due to the paper is far from complishment.

We withdraw the paper because the results are wrong.

The paper has been withdrawn by the author, due to a critical error stemming from the defined template.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author due to a crucial sign error in equation 1